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Finding the Fourth Proportional to 27,414, 37,831.32 and 14,838.84

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Solution

The fourth proportional to 27,414, 37,831.32 and 14,838.84 is: 20,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,414 : 37,831.32 = 14,838.84 : x
  2. Step 2: Convert to fraction form
    27,414/37,831.32 = 14,838.84/x
  3. Step 3: Cross multiply
    27,414x = 37,831.32 × 14,838.84
  4. Step 4: Simplify right side
    27,414x = 561,372,904.47
  5. Step 5: Solve for x
    x = 561,372,904.47/27,414
  6. Step 6: Final answer
    x = 20,477.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.